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Answer:
The perimeter of Roxanne's right triangular garden is 79 feet.
Step-by-step explanation:
Given,
Length of 1 side = 19 feet
Hypotenuse = 33 feet
We have to find out the perimeter of the triangular garden.
Solution,
Since the garden is in shape of right triangle.
So we apply the Pythagoras theorem to find the third side.
"In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides".
So framing in equation form, we get;
Now taking square root on both side, we get;
Now we know that the perimeter is equal to sum of all the three side of a triangle.
Perimeter =
Hence The perimeter of Roxanne's right triangular garden is 79 feet.
Note that
Therefore, given
log₄(x+3) = log₂(2x), obtain
Because
log₂4 = log₂ 2² = 2 log₂ 2 = 2, therefore
x + 3 = (2x)² = 4x²
4x² - x - 3 = 0
This factorizes into
(4x + 3)(x - 1) = 0
Answer:
4x² - x - 3 = 0
or
4x + 3 = 0, and
x - 1 = 0
Therefore, given
log₄(x+3) = log₂(2x), obtain
Because
log₂4 = log₂ 2² = 2 log₂ 2 = 2, therefore
x + 3 = (2x)² = 4x²
4x² - x - 3 = 0
This factorizes into
(4x + 3)(x - 1) = 0
Answer:
4x² - x - 3 = 0
or
4x + 3 = 0, and
x - 1 = 0